Theorems · Theorem · commutative algebra
TruncatedWittVector.truncate_truncate
∀ {p : ℕ} {R : Type u_1} [inst : CommRing R] [inst_1 : Fact (Nat.Prime p)] {n₁ n₂ n₃ : ℕ} (h1 : n₁ ≤ n₂) (h2 : n₂ ≤ n₃)
(x : TruncatedWittVector p n₃ R),
(TruncatedWittVector.truncate h1) ((TruncatedWittVector.truncate h2) x) = (TruncatedWittVector.truncate ⋯) x- Defined in
- Mathlib.RingTheory.WittVector.Truncated
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- LE.le.transstatement and proof · cited by 3,151
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- WittVectorproof · cited by 227
- TruncatedWittVectorstatement and proof · cited by 56
- WittVector.truncateproof · cited by 21
- TruncatedWittVector.truncatestatement and proof · cited by 20
- WittVector.truncate_surjectiveproof · cited by 3
- TruncatedWittVector.truncate_wittVector_truncateproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- TruncatedWittVector.truncate_compproof · cited by 0